Orateur
Description
By conformally mapping a boundary conformal field theory (BCFT) to anti-de Sitter space, one obtains a natural framework for studying boundary critical phenomena. The different conformal boundary conditions of the CFT, corresponding to distinct boundary universality classes, have a natural description in AdS, which also provides a powerful approach for the calculation of various BCFT observables. I will focus on the classic example of the Wilson-Fisher fixed point of the $O(N)$ model with a boundary, and review the calculation of the free energy and of certain one-point functions at higher-loops in the epsilon expansion. From a suitable dimensional continuation of the AdS free energy, one can extract estimates for the central charge of the BCFT in $d=3$, which are in good agreement with recent results from the fuzzy sphere regularization method. If time permits, I will also discuss the application of a similar AdS approach to the Gross-Neveu-Yukawa universality class.